Xampling：子空间联合中的信号采集与处理
Xampling: Signal Acquisition and Processing in Union of Subspaces
摘要：
我们介绍了XESTIC，一个统一的框架，信号采集和处理的信号在一个联盟的子空间。这个框架的主要功能有两个。在使用商用器件进行采样之前缩小输入带宽的模拟压缩。然后，在常规信号处理之前，非线性算法检测输入子空间。频谱稀疏信号的一个代表性的工会模型作为一个测试用例来研究这些Xcandy函数。我们采用三个指标的选择模拟压缩：鲁棒性模型失配，所需的硬件精度和软件的复杂性。我们进行了一个全面的比较两个子奈奎斯特采集策略的频谱稀疏信号，随机解调器和调制宽带转换器（MWC），在这些指标方面，并得出操作性的结论，关于模拟压缩的选择。然后，我们解决低速率信号处理，并为此目的，使方便的信号处理，从MWC获得的样本在次奈奎斯特速率开发一种算法。最后，我们表明，各种其他采样方法，不同的工会类很好地适应我们的框架。
英文摘要：
We introduce Xampling, a unified framework for signal acquisition and processing of signals in a union of subspaces. The main functions of this framework are two. Analog compression that narrows down the input bandwidth prior to sampling with commercial devices. A nonlinear algorithm then detects the input subspace prior to conventional signal processing. A representative union model of spectrally-sparse signals serves as a test-case to study these Xampling functions. We adopt three metrics for the choice of analog compression: robustness to model mismatch, required hardware accuracy and software complexities. We conduct a comprehensive comparison between two sub-Nyquist acquisition strategies for spectrally-sparse signals, the random demodulator and the modulated wideband converter (MWC), in terms of these metrics and draw operative conclusions regarding the choice of analog compression. We then address lowrate signal processing and develop an algorithm for that purpose that enables convenient signal processing at sub-Nyquist rates from samples obtained by the MWC. We conclude by showing that a variety of other sampling approaches for different union classes fit nicely into our framework.
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